IEICET
2008
13 years 11 months ago
2008
For AES 128 security level there are several natural choices for pairing-friendly elliptic curves. In particular, as we will explain, one might choose curves with k = 9 or curves w...
ICISC
2007
14 years 26 days ago
2007
Pairing based cryptography is a new public key cryptographic scheme. An elliptic curve suitable for pairing based cryptography is called a “pairing-friendly” elliptic curve. Af...
PKC
2010
Springer
14 years 3 months ago
2010
Springer
Research on efficient pairing implementation has focussed on reducing the loop length and on using high-degree twists. Existence of twists of degree larger than 2 is a very restric...
PAIRING
2007
Springer
14 years 5 months ago
2007
Springer
We provide the first explicit construction of genus 2 curves over finite fields whose Jacobians are ordinary, have large prime-order subgroups, and have small embedding degree. ...
PAIRING
2009
Springer
14 years 6 months ago
2009
Springer
This paper presents efficient formulas for computing cryptographic pairings on the curve y2 = cx3 + 1 over fields of large characteristic. We provide examples of pairing-friendly...